+0  
 
0
33
1
avatar

We know that 1/13 =0.0769230769230769230769230769230769... When 1/130 is written as a repeating decimal, what is its 130th digit to the right of the decimal point?

 Apr 30, 2022
 #1
avatar+122385 
+1

1/130  =  (1/13) (1/10) =   .0076923076923

 

We have a repeating pattern  that has a period of 6

 

 

 

So 

1st digit  + ( 21 * 6) digits   + 3 digits  =  130

 

The 130th digit  is the 3rd one in the pattern  = 6

 

cool cool cool

 Apr 30, 2022

26 Online Users